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Simplifying -7k + 2 = 3(-5k + 6) Reorder the terms: 2 + -7k = 3(-5k + 6) Reorder the terms: 2 + -7k = 3(6 + -5k) 2 + -7k = (6 * 3 + -5k * 3) 2 + -7k = (18 + -15k) Solving 2 + -7k = 18 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. 2 + -7k + 15k = 18 + -15k + 15k Combine like terms: -7k + 15k = 8k 2 + 8k = 18 + -15k + 15k Combine like terms: -15k + 15k = 0 2 + 8k = 18 + 0 2 + 8k = 18 Add '-2' to each side of the equation. 2 + -2 + 8k = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 8k = 18 + -2 8k = 18 + -2 Combine like terms: 18 + -2 = 16 8k = 16 Divide each side by '8'. k = 2 Simplifying k = 2
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